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Finding the Fourth Proportional to 3,946.94, 5,446.71 and 2,178.51

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Solution

The fourth proportional to 3,946.94, 5,446.71 and 2,178.51 is: 3,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.94 : 5,446.71 = 2,178.51 : x
  2. Step 2: Convert to fraction form
    3,946.94/5,446.71 = 2,178.51/x
  3. Step 3: Cross multiply
    3,946.94x = 5,446.71 × 2,178.51
  4. Step 4: Simplify right side
    3,946.94x = 11,865,701.31
  5. Step 5: Solve for x
    x = 11,865,701.31/3,946.94
  6. Step 6: Final answer
    x = 3,006.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.